ON THE DISCRETE APPROXIMATE SOLUTION AND ESTIMATION OF ITS ERROR OF THE NONLINEAR SINGULAR INTGRAL EQUATIONS

With the help of discrete singular operator S this paper deals with the discretization of the equationsWe divide interval [a , b] into 2N parts: [t_i, t_(i+1)], with i=1 ,2 ,… ,2N, where t_1 =a, t_(2N+1)=b,t_(i+1)-t_i=(b-a)/2N=h_N, i=1,2,…,2N.From [1], linear operator S(N): E_(2N-3)→E_(2v-3), for all Z=(z_3,z_4…,z_(2N-1))∈E_(2n-3),S~(N)Z=(S_2~(N)Z,S_4~(N)Z,…,S_((2N-1)~(N)) Z), there will be